Vertaisarvioitu alkuperäisartikkeli tai data-artikkeli tieteellisessä aikakauslehdessä (A1)

Hölder continuity of omega-minimizers of functionals with generalized Orlicz growth



Julkaisun tekijät: Harjulehto Petteri, Hästö Peter, Lee Mikyoung

Kustantaja: SCUOLA NORMALE SUPERIORE

Julkaisuvuosi: 2021

Journal: Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze

Tietokannassa oleva lehden nimi: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE

Lehden akronyymi: ANN SCUOLA NORM-SCI

Volyymi: 22

Julkaisunumero: 2

Sivujen määrä: 34

ISSN: 0391-173X

DOI: http://dx.doi.org/10.2422/2036-2145.201908_015

Rinnakkaistallenteen osoite: https://arxiv.org/abs/1906.01866


Tiivistelmä
We show local Holder continuity of quasiminimizers of functionals with non-standard (Musielak-Orlicz) growth. Compared with previous results, we cover more general minimizing functionals and need fewer assumptions. We prove Harnack's inequality and a Morrey type estimate for quasiminimizers. Combining this with Ekeland's variational principle, we obtain local Holder continuity for omega-minimizers.

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Last updated on 2021-22-11 at 10:06